Heterotic G(2)-manifold compactifications with fluxes and fermionic condensates

Abstract

We consider flux compactifications of heterotic string theory in the presence of fermionic condensates on M-1,M-2 x X-7 with both factors carrying a Killing spinor. In other words, M-1,M-2 is either de Sitter, anti-de Sitter or Minkowski, and X-7 possesses a nearly parallel G(2)-structure or has G(2)-holonomy. We solve the complete set of field equations and the Bianchi identity to order alpha'. The latter is satisfied via a non-standard embedding by choosing the gauge field to be a G(2)-instanton. It is shown that none of the solutions to the field equations is supersymmetric.